28288580 has 24 divisors (see below), whose sum is σ = 59662680. Its totient is φ = 11266560.

The previous prime is 28288577. The next prime is 28288583. The reversal of 28288580 is 8588282.

28288580 = T₃₅₉ + T₃₆₀ + ... + T₅₉₉.

It is an interprime number because it is at equal distance from previous prime (28288577) and next prime (28288583).

It can be written as a sum of positive squares in 4 ways, for example, as 1331716 + 26956864 = 1154^2 + 5192^2 .

It is not an unprimeable number, because it can be changed into a prime (28288583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1886 + ... + 7754.

It is an arithmetic number, because the mean of its divisors is an integer number (2485945).

Almost surely, 2^28288580 is an apocalyptic number.

28288580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28288580 is an abundant number, since it is smaller than the sum of its proper divisors (31374100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28288580 is a wasteful number, since it uses less digits than its factorization.

28288580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6119 (or 6117 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 41.

The square root of 28288580 is about 5318.7009692217. The cubic root of 28288580 is about 304.6985465467.

The spelling of 28288580 in words is "twenty-eight million, two hundred eighty-eight thousand, five hundred eighty".